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ArticleOriginal scientific text

Title

Order unicyclic graphs according to spectral radius of unoriented laplacian matrix

Authors 1, 2

Affiliations

  1. Key Laboratory of Intelligent Computing & Signal Processing, Ministry of Education of the People's Republic of China, Anhui University, Hefei 230039, P.R. China
  2. School of Mathematics and Computation Sciences, Anhui University, Hefei, Anhui 230039, P.R. China

Abstract

The spectral radius of a graph is defined by that of its unoriented Laplacian matrix. In this paper, we determine the unicyclic graphs respectively with the third and the fourth largest spectral radius among all unicyclic graphs of given order.

Keywords

ENG
unicyclic graph, Laplacian matrix, spectral radius

Bibliography

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Discussiones Mathematicae Graph Theory
2008/28/3
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Pages:
487-499
Main language of publication
English
Received
2007-12-18
Accepted
2008-05-13
Published
2008

DOI: 10.7151/dmgt.1422

Exact and natural sciences